Calculus Answers

solve the following question with step by step.

∫∫ 2xy dxdy

Determine the points where the curve 2x+4y^2-y=1has a vertical tangent line

( e ^ { x } + e ^ { - x } ) ^ { \frac { 1 } { 4 } } ( e ^ { x } - e ^ { - x } ) d x

The number of cars passing a motorway at any time t hours is given by the

N = 1/3t^3-5/5t^2-6t+980

find the time of which maximum number of cars passing the motorway and hence find the number of cars passing at that time.

Find the domain and range of the function
f(x)=1/2-sin3x

Find taylor series
F(x) = (6-x)^-7 About x=4

1- F(x)=sin(x^4) About x=0 find taylor series.
2- f(x)=6x^2 cos(7x^5) About x=0

Draw the graph of f(x)= 3x4-6X3+3x2 by using the extreme points from differentiation.

A right-circular cone is inscribed in a sphere having a fixed radius of 10 in. Express the volume of the cone as a function of its radius.